{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "FractionalFlow"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# load the package\n",
    "include(\"../FractionalFlow/FractionalFlow.jl\")\n",
    "using PyPlot, SetPyPlot, NLopt, Dierckx\n",
    "import Calculus\n",
    "import GR\n",
    "FF = FractionalFlow"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Note\n",
    "For the tertiary low salinity water flooding, the recovery factor is calculated by \n",
    "$$R_{tert}=\\frac{S_{w,avg}-(1-S_{or,hs})}{S_{or,hs}}$$\n",
    "However, the recovery factor is usually reported as the percentage of the initial oil that is in the reservoir before the secondary formation water water flooding, i.e.,\n",
    "$$R=\\frac{S_{w,avg}-S_{w,init}}{1-S_{w,init}}$$\n",
    "To convert one to the other, we can write\n",
    "$$R=\\frac{\\left(R_{tert}S_{or,hs}+(1-S_{or,hs})\\right)-S_{w,init}}{1-S_{w,init}}$$\n",
    "We can also do it the other way around, i.e.,\n",
    "$$R_{tert}=\\frac{R\\left(1-S_{w,init}\\right)+S_{w,init}-\\left(1-S_{or,hs}\\right)}{S_{or,hs}}$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Secondary smart-water flooding"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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qDEA9wxwhJ2lIQejX8kvLtWzHES3beUQrduWrtPy0fZmHRerRIliJVzVTQrswdYoK4GiRmRGEANQzrvr77fYHX82ZM0cxMTHy9fVV3759tW7duov2nzVrlq666io1atRINptNjzzyiE6ePFlH1V7ZQv199N+9bPr78J7a+MxAvTe2r+69vrXahvmrypDW7z+mF7/apcGzV6r3/36t8e9v0kcbDyqvpPzSGwcAoAFy6xyhBQsWKCUlRXPnzlXfvn01a9YsJScna+fOnQoLCzun/3vvvacJEyZo3rx56tevn3bt2qW77rpLFotFM2bMcMMeXLmsXh7q1yZU/dqE6qlBHXTw2HEt35Wn9J15Wr07X0fLKrQo47AWZRyWJHWIDND1bUN1bdtQ9Y4Jka+3p5v3AAAA13PrqbG+ffuqd+/emj17tiSpqqpKNptNDz74oCZMmHBO/3Hjxmn79u1KS0uztz366KP67rvvtHLlylp9ZkM+NVZbFaertDHrmFbsytOKn/K09VBxjeVWLw/1iQnRNbGhuq5tqDpGchqtweHUGIB6psFdPl9RUaENGzZo4sSJ9jYPDw8lJSVpzZo1512nX79+euedd7Ru3Tr16dNHe/fu1eLFizVixIgLfk55ebnKy8+e+ikuLr5gX7Owenno6tZNdXXrpnripvbKLy3Xqt35+vanfK38KV85xSe1cne+Vu7O1/NLpCA/b8W3bqp+saG6pk1TtQptzF2uAQANgtuCUH5+viorKxUeHl6jPTw8XDt27DjvOn/4wx+Un5+va6+9VoZh6PTp07rvvvv01FNPXfBzUlNTNWXKFKfW3tCE+vvY71lkGIb25JVq5U/VQWjt3gIVHj+lL7bm6IutOZKkyEBfxbduqvg21a/mwX5u3gMAAC5PvbqPUHp6uqZNm6a///3v6tu3r3bv3q2HH35Yzz33nJ555pnzrjNx4kSlpKTY3xcXF8tms9VVyfWOxWJRbFgTxYY10V3XtNKpyir9cLBIq3fna9WefG3cX6jsopP6aNMhfbTpkCTJFtJI8T8fYbq6dVNFBTVy814AAFA7bgtCoaGh8vT0VG5ubo323NxcRUREnHedZ555RiNGjNA999wjSerSpYvKysp077336s9//rM8PM69CM7Hx0c+Pj7O3wGT8Pb0UM+WwerZMlgP3tBWJ09Vav2+Y1qzN1+r9xzVDweLdKDghA4UHNTC9QclSS1C/HR16xD1bdVUfVuHcMQIAHDFclsQslqt6tmzp9LS0jRkyBBJ1ZOl09LSNG7cuPOuc/z48XPCjqdn9dVNJrsdktv4envq2p+vLpOk0vLT+n5fgdbuOaq1mQXacrBQWQXHlVVw3B6MooMaqW+rEPX5+cUcIwDAlcKtp8ZSUlI0atQo9erVS3369NGsWbNUVlam0aNHS5JGjhyp6OhopaamSpIGDx6sGTNmqHv37vZTY88884wGDx5sD0SoW/4+Xup/VZj6X1V9u4OSk6e0fv8xrd17VN/tLdCWQ0U6VHiixqm0UH8f9WkVrN4xIeodE6IOkQHy5Ko0AIAbuDUIDR06VHl5eZo0aZJycnIUFxenJUuW2CdQZ2Vl1TgC9PTTT8tisejpp5/WoUOH1KxZMw0ePFj/+7//665dwK808fWuEYzKyk9rY9Yxrcss0Hd7C5RxsFD5peVavCVHi7dUT75u4uOl7i2D1btlsHrFhCjOFqRGVoItAMD1eMQG6tTJU5X64WCRvt9XoHWZBdqw/1iNR4FIkpeHRZ2jA9WrZbB6xQSrR8tghTXxdVPFDRT3EQJQz/CsMSchCF1ZKqsM7cgp1veZBfp+/zGt31eg3OJzH/nRIsTPPmm7Z8tgtQtvwum034IgBKCeaXA3VAQkydPDok5RgeoUFai7rmklwzB08NgJrd9foPX7jmnD/mPamVtin4D98c/zjPx9vBRnC1KPFkHq3jJYPWzBCvTzdvPeAADqG4IQrigWi0W2ED/ZQvx0e/fmkqTik6e0KatQG/YVaGNWoTZlVZ9OO3P36zPaNGusHi2C1b1FsLq3COKoEQDgkghCuOIF+HoroV0zJbRrJqn6dNqu3BJt2H9MG7OOaVNWoTLzy7Qnr/r1wYbqy/YbWz3VtXmQurcIUpwtSN1bBKtZE+4pBQA4iyCEesfTw6IOkQHqEBmg/7m6pSSpoKxCm34ORRuzjmnzgUKVVVRqzd6jWrP3qH3d6KBGimsRpLjmQYprEaTOUYFcoQYAJkYQQoMQ0tiqGzqE64YO1bdeqKwy9NOREmVkFWpTVqEyDhRq15ESHSo8oUOFJ/T5D9mSqkNV+4gm6marDkfdbEGKDfPnlBoAmARBCA1SdcAJUPuIAN3Zp4Wk6ps9bjlYpE0HqoNRxoFC5ZWUa9vhYm07XKz3vsuSJPlZPdU5OlDdmgeqa/MgdWseJFtII+6GDQANEEEIptHE11v9YkPVL7b68SCGYSin+KQysgqVcbBQGVmF2nqoSGUVlVqXWX2fozOC/bx/DkWB6vLz/4YFcG8jAKjvCEIwLYvFosjARors0kg3d4mUVH1KbU9eqTYfKNTmg4X64WCRtmcX69jxU1q+K0/Ld+XZ1w8P8FGX6CB1bR6oLs0D1TU6UE39mYwNAPUJQQj4BU8Pi9qFN1G78Cb67142SVL56UrtyC7RDwcLtflgkX44WKjdR0qVW1yu3OJcfb09175+dFAjdYmuDkadowPVJTpQIY2t7todAMAlEISAS/Dx8lQ3W/VE6hE/t5WVn9a2w8Xacqg6GG05VKS9eWX2ydhLtuXY148OaqTO0QHqEn02HHHkCACuDAQh4DI09vFSn1Yh6tMqxN5WcvKUth0u/jkYFWvroSJl5p8NR19uO3vkKCrQV51+DkVdogPVKTqA56kBgBsQhAAnaeLrratbN9XVrZva24pPntK2n0PRlkNF2nqoSHvzy3S46KQOF53U0h/PhqOwJj7qFBWgztHVjxzpHB2g6CCuVgMAVyIIAS4U4Out+DZNFd/mbDgqOXlKPx4u1tbD1QFp66Ei7ckr1ZGSch3ZmadlO89OyA7y864OR1GB6hgVoE5RgWoV2pj7HAGAkxCEgDrWxNdbfVs3Vd9fHDk6XnFa27NLtO1wkbYcLNK2w8XalVuiwuOntGr3Ua3affbu2H5WT7WPaPLzw2qrw1G7CH/5eHGHbABwFEEIuAL4Wb3Us2WwerYMtreVn67UT7ml2nqoOhhtPVx9Kf/xikptzCrUxqxCe18vD4tiw/zVyX7kKEAdowIU4Ovtjt0BgHqDIARcoXy8qu9w3Tk60N5WWWVob16pfswu/vmO2NUhqfD4Ke3IKdGOnBJ9uPHsNmwhjdQpsjocdYwMUKfoAEUE+IoTawBQjSAE1COeHha1DW+ituFNdFtctKTqO2QfLjqpbT8fOfoxu1g/Hi7WocITOlBQ/frl5fxBft7qHm7VP39+bxgGwQiAaRGEgHrOYrEoOqiRooMa6cZOEfb2wuMV9lD048/PU9udV6rC46e0NrNE+vlq/e05JerY0t9N1QOAexGEgAYqyM+qfm1C1a9NqL3t5KnqeUe7DuRIX1a3FZ045aYKAcD9CEKAifh6e6pL80B1CfOyByEAMDMPdxcAAADgLgQhAABgWgQhAABgWgQhAABgWgQhAABgWgQhAABgWgQhAABgWgQhAABgWgQhAABgWgQhAABgWgQhAABgWgQhAABgWgQhAABgWgQhAABgWgQhAABgWgQhAABgWl6Xs1JhYaHWrVunI0eOqKqqqsaykSNHOqUwAAAAV3M4CP3nP//R8OHDVVpaqoCAAFksFvsyi8VCEAIAAPWGw6fGHn30UY0ZM0alpaUqLCzUsWPH7K+CggJX1AgAAOASDgehQ4cO6aGHHpKfn58r6gEAAKgzDgeh5ORkrV+/3hW1AAAA1CmH5wjdcsstevzxx/Xjjz+qS5cu8vb2rrH81ltvdVpxAAAAruRwEBo7dqwkaerUqecss1gsqqys/O1VAQAA1AGHg9CvL5cHAACor7ihIgAAMK3LCkLLly/X4MGDFRsbq9jYWN1666369ttvnV0bAACASzkchN555x0lJSXJz89PDz30kB566CE1atRIN9xwg9577z1X1AgAAOASFsMwDEdW6NChg+6991498sgjNdpnzJih119/Xdu3b3dqgc5WXFyswMBAFRUVKSAgwN3lAO5RUSZNi5Ikrblzi+Lbt3BzQQBwca76++3wEaG9e/dq8ODB57TfeuutyszMdEpRAAAAdcHhIGSz2ZSWlnZO+9dffy2bzeaUogAAAOqCw5fPP/roo3rooYeUkZGhfv36SZJWrVql+fPn6+WXX3Z6gQAAAK7icBC6//77FRERoZdeekkLFy6UVD1vaMGCBbrtttucXiAAAICrOByEJOn222/X7bff7uxaAAAA6hQ3VAQAAKZVqyNCISEh2rVrl0JDQxUcHCyLxXLBvgUFBU4rDgAAwJVqFYRmzpypJk2a2P99sSDkqDlz5uivf/2rcnJy1K1bN/3tb39Tnz59Lti/sLBQf/7zn/XRRx+poKBALVu21KxZszRo0CCn1QQAAMyhVkFo1KhR9n/fddddTvvwBQsWKCUlRXPnzlXfvn01a9YsJScna+fOnQoLCzunf0VFhQYOHKiwsDD9+9//VnR0tPbv36+goCCn1QQAAMzD4TlCnp6eOnLkyDntR48elaenp0PbmjFjhsaOHavRo0erY8eOmjt3rvz8/DRv3rzz9p83b54KCgq0aNEiXXPNNYqJiVFCQoK6devm6G4AAAA4HoQu9ESO8vJyWa3WWm+noqJCGzZsUFJS0tliPDyUlJSkNWvWnHedTz/9VPHx8XrggQcUHh6uzp07a9q0aaqsrLzg55SXl6u4uLjGCwAAQHLg8vlXXnlFkmSxWPTGG2/I39/fvqyyslIrVqxQ+/bta/3B+fn5qqysVHh4eI328PBw7dix47zr7N27V998842GDx+uxYsXa/fu3frTn/6kU6dOafLkyeddJzU1VVOmTKl1XQAAwDxqHYRmzpwpqfqI0Ny5c2ucBrNarYqJidHcuXOdX+EvVFVVKSwsTP/4xz/k6empnj176tChQ/rrX/96wSA0ceJEpaSk2N8XFxfzKBAAACDJgSB05oGq/fv310cffaTg4ODf9MGhoaHy9PRUbm5ujfbc3FxFREScd53IyEh5e3vXCGEdOnRQTk6OKioqzntqzsfHRz4+Pr+pVgAA0DA5PEdo2bJlvzkESdVHkXr27FnjAa5VVVVKS0tTfHz8ede55pprtHv3blVVVdnbdu3apcjISIfmJwEAAEiX+YiNgwcP6tNPP1VWVpYqKipqLJsxY0att5OSkqJRo0apV69e6tOnj2bNmqWysjKNHj1akjRy5EhFR0crNTVVUvVzzmbPnq2HH35YDz74oH766SdNmzZNDz300OXsBgAAMDmHg1BaWppuvfVWtW7dWjt27FDnzp21b98+GYahHj16OLStoUOHKi8vT5MmTVJOTo7i4uK0ZMkS+wTqrKwseXicPWhls9n05Zdf6pFHHlHXrl0VHR2thx9+WE8++aSjuwEAACCLcaHr4S+gT58+uvnmmzVlyhQ1adJEmzdvVlhYmIYPH66bbrpJ999/v6tqdYri4mIFBgaqqKhIAQEB7i4HcI+KMmlalCRpzZ1bFN++hZsLAoCLc9Xfb4fnCG3fvl0jR46UJHl5eenEiRPy9/fX1KlT9fzzzzutMAAAAFdzOAg1btzYPi8oMjJSe/bssS/Lz893XmUAAAAu5vAcoauvvlorV65Uhw4dNGjQID366KPasmWLPvroI1199dWuqBEAAMAlHA5CM2bMUGlpqSRpypQpKi0t1YIFC9S2bVuHrhgDAABwN4eCUGVlpQ4ePKiuXbtKqj5N5uq7SQMAALiKQ3OEPD09deONN+rYsWOuqgcAAKDOOHxqrHPnztq7d69atWrlinoA1LEPNxzUt/uOu7sMt4kI9NUf+rSQl6fD144AaAAcDkJ/+ctf9Nhjj+m5555Tz5491bhx4xrLuTcPUL98viVbJ2Tuo7ytQhvrurbN3F0GADdwOAgNGjRIknTrrbfKYrHY2w3DkMViUWVAF7mCAAAfcElEQVRlpfOqA+ByI65uqVOejdxdhlt8/kO2jpSUq/TkaXeXAsBNHA5Cy5Ytc0UdANzkqUEdJGvjS3dsgLYeKtKRknJ3lwHAjRwOQgkJCa6oAwAAoM45HIRWrFhx0eXXX3/9ZRcDAABQlxwOQomJiee0/XKuEHOEAABAfeHw9aLHjh2r8Tpy5IiWLFmi3r1766uvvnJFjQAAAC7h8BGhwMDAc9oGDhwoq9WqlJQUbdiwwSmFAQAAuJrT7iAWHh6unTt3OmtzAAAALufwEaEffvihxnvDMJSdna3p06crLi7OaYUBAAC4msNBKC4uThaLRYZh1Gi/+uqrNW/ePKcVBgAA4GoOB6HMzMwa7z08PNSsWTP5+vo6rSgAAIC64PAcoeXLlysiIkItW7ZUy5YtZbPZ5Ovrq4qKCr311luuqBEAAMAlHA5Co0ePVlFR0TntJSUlGj16tFOKAgAAqAsOB6EzD1f9tYMHD5730noAAIArVa3nCHXv3l0Wi0UWi0U33HCDvLzOrlpZWanMzEzddNNNLikSAADAFWodhIYMGSJJysjIUHJysvz9/e3LrFarYmJi9Lvf/c75FQIAALhIrYPQ5MmTJUkxMTEaOnQoV4kBAIB6z+HL50eNGuWKOgAAAOqcw0GosrJSM2fO1MKFC5WVlaWKiooaywsKCpxWHAAAgCs5fNXYlClTNGPGDA0dOlRFRUVKSUnR//t//08eHh569tlnXVAiAACAazgchN599129/vrrevTRR+Xl5aVhw4bpjTfe0KRJk7R27VpX1AgAAOASDgehnJwcdenSRZLk7+9vv7nif/3Xf+nzzz93bnUAAAAu5HAQat68ubKzsyVJbdq00VdffSVJ+v777+Xj4+Pc6gAAAFzI4SB0++23Ky0tTZL04IMP6plnnlHbtm01cuRIjRkzxukFAgAAuIrDV41Nnz7d/u+hQ4eqRYsWWrNmjdq2bavBgwc7tTgAAABXcjgI/Vp8fLzi4+OdUQsAAECdcvjU2JtvvlljUvQTTzyhoKAg9evXT/v373dqcQAAAK7kcBCaNm2aGjVqJElas2aNZs+erRdeeEGhoaF65JFHnF4gAACAqzh8auzAgQOKjY2VJC1atEh33HGH7r33Xl1zzTVKTEx0dn0AAAAu4/ARIX9/fx09elSS9NVXX2ngwIGSJF9fX504ccK51QEAALiQw0eEBg4cqHvuuUfdu3fXrl27NGjQIEnStm3bFBMT4+z6AAAAXMbhI0Jz5sxRfHy88vLy9OGHH6pp06aSpA0bNmjYsGFOLxAAAMBVHD4iFBQUpNmzZ5/TPmXKFKcUBAAAUFccPiIEAADQUBCEAACAaRGEAACAaTkUhAzDUFZWlk6ePOmqegAAAOqMw0EoNjZWBw4ccFU9AAAAdcahIOTh4aG2bdvab6gIAABQnzk8R2j69Ol6/PHHtXXrVlfUAwAAUGccvo/QyJEjdfz4cXXr1k1Wq9X+ANYzCgoKnFYcAACAKzkchGbNmuWKOgAAAOqcw0Fo1KhRrqgDAACgzl3WfYT27Nmjp59+WsOGDdORI0ckSV988YW2bdvm1OIAAABcyeEgtHz5cnXp0kXfffedPvroI5WWlkqSNm/erMmTJzu9QAAAAFdxOAhNmDBBf/nLX7R06VJZrVZ7+4ABA7R27VqnFgcAAOBKDgehLVu26Pbbbz+nPSwsTPn5+U4pCgAAoC44HISCgoKUnZ19TvumTZsUHR3tlKIAAADqgsNB6M4779STTz6pnJwcWSwWVVVVadWqVXrsscc0cuTIyypizpw5iomJka+vr/r27at169bVar33339fFotFQ4YMuazPBQAA5uZwEJo2bZrat28vm82m0tJSdezYUddff7369eunp59+2uECFixYoJSUFE2ePFkbN25Ut27dlJycbL8a7UL27dunxx57TNddd53DnwkAACBdRhCyWq16/fXXtXfvXn322Wd65513tGPHDr399tvy9PR0uIAZM2Zo7NixGj16tDp27Ki5c+fKz89P8+bNu+A6lZWVGj58uKZMmaLWrVs7/JkAAADSZQShqVOn6vjx47LZbBo0aJB+//vfq23btjpx4oSmTp3q0LYqKiq0YcMGJSUlnS3Iw0NJSUlas2bNRWsICwvT3Xff7Wj5AAAAdg4HoSlTptjvHfRLx48f15QpUxzaVn5+viorKxUeHl6jPTw8XDk5OeddZ+XKlfq///s/vf7667X6jPLychUXF9d4AQAASJcRhAzDkMViOad98+bNCgkJcUpRF1JSUqIRI0bo9ddfV2hoaK3WSU1NVWBgoP1ls9lcWiMAAKg/av2sseDgYFksFlksFrVr165GGKqsrFRpaanuu+8+hz48NDRUnp6eys3NrdGem5uriIiIc/rv2bNH+/bt0+DBg+1tVVVV1Tvi5aWdO3eqTZs2NdaZOHGiUlJS7O+Li4sJQwAAQJIDQWjWrFkyDENjxozRlClTFBgYaF9mtVoVExOj+Ph4hz7carWqZ8+eSktLs18CX1VVpbS0NI0bN+6c/u3bt9eWLVtqtD399NMqKSnRyy+/fN6A4+PjIx8fH4fqAgAA5lDrIHTmqfOtWrVSv3795O3t7ZQCUlJSNGrUKPXq1Ut9+vTRrFmzVFZWptGjR0uSRo4cqejoaKWmpsrX11edO3eusX5QUJAkndMOAABwKbUOQmckJCTY/33y5ElVVFTUWB4QEODQ9oYOHaq8vDxNmjRJOTk5iouL05IlS+wTqLOysuTh4fBUJgAAgEtyOAgdP35cTzzxhBYuXKijR4+es7yystLhIsaNG3feU2GSlJ6eftF158+f7/DnAQAASJdx1djjjz+ub775Rq+++qp8fHz0xhtvaMqUKYqKitJbb73lihoBAABcwuEjQv/5z3/01ltvKTExUaNHj9Z1112n2NhYtWzZUu+++66GDx/uijoBAACczuEjQgUFBfbHWgQEBKigoECSdO2112rFihXOrQ4AAMCFHA5CrVu3VmZmpqTqy9kXLlwoqfpI0ZkruAAAAOoDh4PQ6NGjtXnzZknShAkTNGfOHPn6+uqRRx7R448/7vQCAQAAXMXhOUKPPPKI/d9JSUnasWOHNmzYoNjYWHXt2tWpxQEAALhSrYNQZmamWrVqdU57y5Yt1bJlS6cWBQAAUBdqfWqsTZs2atWqlcaMGaO3335bBw8edGVdAAAALlfrI0LffPON0tPTlZ6ern/961+qqKhQ69atNWDAAPXv31/9+/e33w0aAACgPqh1EEpMTFRiYqKk6kdrrF692h6M3nzzTZ06dUrt27fXtm3bXFUrAACAUzk8WVqSfH19NWDAAF177bXq37+/vvjiC7322mvasWOHs+sDAABwGYeCUEVFhdauXatly5YpPT1d3333nWw2m66//nrNnj27xgNZAQAArnS1DkIDBgzQd999p1atWikhIUF//OMf9d577ykyMtKV9QEAALhMrYPQt99+q8jISA0YMECJiYlKSEhQ06ZNXVkbAACAS9X68vnCwkL94x//kJ+fn55//nlFRUWpS5cuGjdunP79738rLy/PlXUCAAA4Xa2PCDVu3Fg33XSTbrrpJklSSUmJVq5cqWXLlumFF17Q8OHD1bZtW23dutVlxQIAADiTw88aO6Nx48YKCQlRSEiIgoOD5eXlpe3btzuzNgAAAJeq9RGhqqoqrV+/Xunp6Vq2bJlWrVqlsrIyRUdHq3///pozZ4769+/vyloBAACcqtZBKCgoSGVlZYqIiFD//v01c+ZMJSYmqk2bNq6sDwAAwGVqHYT++te/qn///mrXrp0r6wEAAKgztQ5Cf/zjH11ZBwAAQJ277MnSAAAA9R1BCAAAmBZBCAAAmBZBCAAAmBZBCAAAmBZBCAAAmBZBCAAAmBZBCAAAmBZBCAAAmBZBCAAAmBZBCAAAmBZBCAAAmBZBCAAAmBZBCAAAmBZBCAAAmBZBCAAAmBZBCAAAmBZBCAAAmBZBCAAAmBZBCAAAmBZBCAAAmBZBCAAAmBZBCAAAmBZBCAAAmBZBCAAAmBZBCAAAmBZBCAAAmBZBCAAAmBZBCAAAmBZBCAAAmBZBCAAAmBZBCAAAmBZBCAAAmBZBCAAAmBZBCAAAmBZBCAAAmNYVEYTmzJmjmJgY+fr6qm/fvlq3bt0F+77++uu67rrrFBwcrODgYCUlJV20PwAAwIW4PQgtWLBAKSkpmjx5sjZu3Khu3bopOTlZR44cOW//9PR0DRs2TMuWLdOaNWtks9l044036tChQ3VcOQAAqO/cHoRmzJihsWPHavTo0erYsaPmzp0rPz8/zZs377z93333Xf3pT39SXFyc2rdvrzfeeENVVVVKS0ur48oBAEB959YgVFFRoQ0bNigpKcne5uHhoaSkJK1Zs6ZW2zh+/LhOnTqlkJCQ8y4vLy9XcXFxjRcAAIDk5iCUn5+vyspKhYeH12gPDw9XTk5Orbbx5JNPKioqqkaY+qXU1FQFBgbaXzab7TfXDQAAGga3nxr7LaZPn673339fH3/8sXx9fc/bZ+LEiSoqKrK/Dhw4UMdVAgCAK5WXOz88NDRUnp6eys3NrdGem5uriIiIi6774osvavr06fr666/VtWvXC/bz8fGRj4+PU+oFAAANi1uPCFmtVvXs2bPGROczE5/j4+MvuN4LL7yg5557TkuWLFGvXr3qolQAANAAufWIkCSlpKRo1KhR6tWrl/r06aNZs2aprKxMo0ePliSNHDlS0dHRSk1NlSQ9//zzmjRpkt577z3FxMTY5xL5+/vL39/fbfsBAADqH7cHoaFDhyovL0+TJk1STk6O4uLitGTJEvsE6qysLHl4nD1w9eqrr6qiokJ33HFHje1MnjxZzz77bF2WDgAA6jm3ByFJGjdunMaNG3feZenp6TXe79u3z/UFAQAAU6jXV40BAAD8FgQhAABgWgQhAABgWgQhAABgWgQhAABgWgQhAABgWgQhAABgWgQhAABgWlfEDRUBwJ0+yTisrYeL3F0G0GBEBTXS8L4t3V1GrRCEAJiWn7X6J3DJthxpm5uLARqQHi2CCEIAcKWbOKi92oX763SV4e5SgAalebCfu0uoNYIQANNqHxGgP9/S0d1lAHAjJksDAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTIggBAADTuiKC0Jw5cxQTEyNfX1/17dtX69atu2j/Dz74QO3bt5evr6+6dOmixYsX11GlAACgIXF7EFqwYIFSUlI0efJkbdy4Ud26dVNycrKOHDly3v6rV6/WsGHDdPfdd2vTpk0aMmSIhgwZoq1bt9Zx5QAAoL6zGIZhuLOAvn37qnfv3po9e7YkqaqqSjabTQ8++KAmTJhwTv+hQ4eqrKxMn332mb3t6quvVlxcnObOnXvJzysuLlZgYKCKiooUEBDgvB0B6pOKMmlaVPW/H9stWf3cWw+AhsfbT7JYnLY5V/399nLali5DRUWFNmzYoIkTJ9rbPDw8lJSUpDVr1px3nTVr1iglJaVGW3JyshYtWnTe/uXl5SovL7e/Ly4udkLlQAPyYqy7KwDQED11WLI2dncVl+TWU2P5+fmqrKxUeHh4jfbw8HDl5OScd52cnByH+qempiowMND+stlszikeqM+8/STb1e6uAgDczq1HhOrCxIkTaxxBKi4uJgwBFos0Zol06ri7KwHQUHnXj1Pubg1CoaGh8vT0VG5ubo323NxcRUREnHediIgIh/r7+PjIx8fHOQUDDYnFUi8OWwOAK7n11JjValXPnj2VlpZmb6uqqlJaWpri4+PPu058fHyN/pK0dOnSC/YHAAC4ELefGktJSdGoUaPUq1cv9enTR7NmzVJZWZlGjx4tSRo5cqSio6OVmpoqSXr44YeVkJCgl156Sbfccovef/99rV+/Xv/4xz/cuRsAAKAecnsQGjp0qPLy8jRp0iTl5OQoLi5OS5YssU+IzsrKkofH2QNX/fr103vvvaenn35aTz31lNq2batFixapc+fO7toFAABQT7n9PkJ1jfsIAQBQ/7jq77fb7ywNAADgLgQhAABgWgQhAABgWgQhAABgWgQhAABgWgQhAABgWgQhAABgWgQhAABgWgQhAABgWm5/xEZdO3Mj7eLiYjdXAgAAauvM321nPxDDdEGopKREkmSz2dxcCQAAcNTRo0cVGBjotO2Z7lljVVVVOnz4sJo0aSKLxeLUbRcXF8tms+nAgQOmf44ZY1ET41ET43EWY1ET41ET43FWUVGRWrRooWPHjikoKMhp2zXdESEPDw81b97cpZ8REBBg+i/sGYxFTYxHTYzHWYxFTYxHTYzHWR4ezp3ezGRpAABgWgQhAABgWp7PPvvss+4uoiHx9PRUYmKivLxMd9bxHIxFTYxHTYzHWYxFTYxHTYzHWa4YC9NNlgYAADiDU2MAAMC0CEIAAMC0CEIAAMC0CEIAAMC0CEIOmjNnjmJiYuTr66u+fftq3bp1F+3/wQcfqH379vL19VWXLl20ePHiOqrU9RwZi/nz58tisdR4+fr61mG1rrVixQoNHjxYUVFRslgsWrRo0SXXSU9PV48ePeTj46PY2FjNnz/f9YXWAUfHIj09/ZzvhsViUU5OTh1V7Dqpqanq3bu3mjRporCwMA0ZMkQ7d+685HoN9XfjcsajIf92vPrqq+ratav9Zonx8fH64osvLrpOQ/1uODoWzvxeEIQcsGDBAqWkpGjy5MnauHGjunXrpuTkZB05cuS8/VevXq1hw4bp7rvv1qZNmzRkyBANGTJEW7durePKnc/RsZCq74yanZ1tf+3fv78OK3atsrIydevWTXPmzKlV/8zMTN1yyy3q37+/MjIyNH78eN1zzz368ssvXVyp6zk6Fmfs3LmzxvcjLCzMRRXWneXLl+uBBx7Q2rVrtXTpUp06dUo33nijysrKLrhOQ/7duJzxkBrub0fz5s01ffp0bdiwQevXr9eAAQN02223adu2beft35C/G46OheTE74WBWuvTp4/xwAMP2N9XVlYaUVFRRmpq6nn7//73vzduueWWGm19+/Y1/vjHP7q0zrrg6Fj885//NAIDA+uqPLeSZHz88ccX7fPEE08YnTp1qtE2dOhQIzk52ZWl1bnajMWyZcsMScaxY8fqqCr3OXLkiCHJWL58+QX7NOTfjV+rzXiY6bfDMAwjODjYeOONN867zEzfDcO4+Fg483vBEaFaqqio0IYNG5SUlGRv8/DwUFJSktasWXPeddasWVOjvyQlJydfsH99cTljIUmlpaVq2bKlbDbbJZN+Q9dQvxu/RVxcnCIjIzVw4ECtWrXK3eW4RFFRkSQpJCTkgn3M9N2ozXhI5vjtqKys1Pvvv6+ysjLFx8eft49Zvhu1GQvJed8LglAt5efnq7KyUuHh4TXaw8PDLziXIScnx6H+9cXljMVVV12lefPm6ZNPPtE777yjqqoq9evXTwcPHqyLkq84F/puFBcX68SJE26qyj0iIyM1d+5cffjhh/rwww9ls9mUmJiojRs3urs0p6qqqtL48eN1zTXXqHPnzhfs11B/N36ttuPR0H87tmzZIn9/f/n4+Oi+++7Txx9/rI4dO563b0P/bjgyFs78XnC/btSJ+Pj4Gsm+X79+6tChg1577TU999xzbqwM7nbVVVfpqquusr/v16+f9uzZo5kzZ+rtt992Y2XO9cADD2jr1q1auXKlu0u5ItR2PBr6b8dVV12ljIwMFRUV6d///rdGjRql5cuXXzAANGSOjIUzvxcEoVoKDQ2Vp6encnNza7Tn5uYqIiLivOtEREQ41L++uJyx+DVvb291795du3fvdkWJV7wLfTcCAgLUqFEjN1V15ejTp0+DCgzjxo3TZ599phUrVqh58+YX7dtQfzd+yZHx+LWG9tthtVoVGxsrSerZs6e+//57vfzyy3rttdfO6dvQvxuOjMWv/ZbvBafGaslqtapnz55KS0uzt1VVVSktLe2C5zDj4+Nr9JekpUuXXvScZ31wOWPxa5WVldqyZYsiIyNdVeYVraF+N5wlIyOjQXw3DMPQuHHj9PHHH+ubb75Rq1atLrlOQ/5uXM54/FpD/+2oqqpSeXn5eZc15O/G+VxsLH7tN30vnDLl2iTef/99w8fHx5g/f77x448/Gvfee68RFBRk5OTkGIZhGCNGjDAmTJhg779q1SrDy8vLePHFF43t27cbkydPNry9vY0tW7a4axecxtGxmDJlivHll18ae/bsMTZs2GDceeedhq+vr7Ft2zZ37YJTlZSUGJs2bTI2bdpkSDJmzJhhbNq0ydi/f79hGIYxYcIEY8SIEfb+e/fuNfz8/IzHH3/c2L59uzFnzhzD09PTWLJkibt2wWkcHYuZM2caixYtMn766Sdjy5YtxsMPP2x4eHgYX3/9tbt2wWnuv/9+IzAw0EhPTzeys7Ptr+PHj9v7mOl343LGoyH/dkyYMMFYvny5kZmZafzwww/GhAkTDIvFYnz11VeGYZjru+HoWDjze0EQctDf/vY3o0WLFobVajX69OljrF271r4sISHBGDVqVI3+CxcuNNq1a2dYrVajU6dOxueff17HFbuOI2Mxfvx4e9/w8HBj0KBBxsaNG91QtWucuQT8168zYzBq1CgjISHhnHXi4uIMq9VqtG7d2vjnP/9Z53W7gqNj8fzzzxtt2rQxfH19jZCQECMxMdH45ptv3FO8k51vHCTV+G9tpt+NyxmPhvzbMWbMGKNly5aG1Wo1mjVrZtxwww32P/yGYa7vhqNj4czvhcUwDMPx40gAAAD1H3OEAACAaRGEAACAaRGEAACAaRGEAACAaRGEAACAaRGEAACAaRGEAACAaRGEAACAaRGEAOBnzz77rCwWiywWi2bNmnXRvmf6BQUF1VF1AFyBIATAbebPn28PFJ6engoODlbfvn01depUFRUVnXed0aNH6+mnn9a+fftksViUkZFRY/kvw4yXl5dCQ0N1/fXXa9asWbV6gGOnTp2UnZ2te++996L9srOzLxmWAFz5CEIA3CogIEDZ2dk6ePCgVq9erXvvvVdvvfWW4uLidPjw4Rp9Kysr9dlnn+nWW2+96DbPhJmsrCwtW7ZM//3f/63U1FT169dPJSUlF13Xy8tLERER8vPzu2i/iIgIBQYG1m4nAVyxCEIAXCIvL08RERGaNm2avW316tWyWq1KS0uzt1ksFkVERCgyMlIdOnTQ3XffrdWrV6u0tFRPPPFEjW2uXr1a3t7e6t27t1q1aiVJ6t69uywWixITE+39zoSZqKgodenSRQ8++KCWL1+urVu36vnnn3ftjgOoVwhCAFyiWbNmmjdvnp599lmtX79eJSUlGjFihMaNG6cbbrjhouuGhYVp+PDh+vTTT1VZWWlv//TTTzV48GBZLBatW7dOkvT1118rOztbH3300UW32b59e918882X7AfAXAhCAFxm0KBBGjt2rIYPH6777rtPjRs3Vmpqaq3Wbd++vUpKSnT06FF72yeffGI/LdasWTNJUtOmTRUREaGQkJBabXPfvn2O7wiABosgBMClXnzxRZ0+fVoffPCB3n33Xfn4+NRqPcMwJFWfOpOk7du36/Dhw5c8mnSpbZ7ZXm3dd9998vf3t78ANCwEIQAutWfPHh0+fFhVVVUOHY3Zvn27AgIC1LRpU0nVp8UGDhwoX1/fy65l+/bt9rlFtTV16lRlZGTYXwAaFi93FwCg4aqoqND//M//aOjQobrqqqt0zz33aMuWLQoLC7voekeOHNF7772nIUOGyMOj+v+vffLJJzUuabdarZJUYw7RxezYsUNLlizRxIkTHdqHsLCwS9YLoP4iCAFwmT//+c8qKirSK6+8In9/fy1evFhjxozRZ599Zu9jGIZycnJkGIYKCwu1Zs0aTZs2TYGBgZo+fbqk6mC0fv16ffrpp/b1wsLC1KhRIy1ZskTNmzeXr6+v/XL206dPKycnR1VVVTp69KjS09P1l7/8RXFxcXr88cfrdhAAXNE4NQbAJdLT0zVr1iy9/fbbCggIkIeHh95++219++23evXVV+39iouLFRkZqejoaMXHx+u1117TqFGjtGnTJkVGRkqS/vOf/6hPnz4KDQ21r+fl5aVXXnlFr732mqKionTbbbfZl23btk2RkZFq0aKFEhMTtXDhQk2cOFHffvst83wA1GAxzsxIBIAr1K233qprr732nPsKOduzzz6rRYsW1Xou0Pz58zV+/HgVFha6tC4ArsMRIQBXvGuvvVbDhg2rk8/asmWL/P399fe///2i/fz9/XXffffVSU0AXIcjQgDws4KCAhUUFEiqvk/RxR6hsXv3bkmSp6enw1eiAbhyEIQAAIBpcWoMAACYFkEIAACYFkEIAACYFkEIAACYFkEIAACYFkEIAACYFkEIAACYFkEIAACY1v8HRIuSmHoY/i0AAAAASUVORK5CYII=",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "PyObject <matplotlib.legend.Legend object at 0x7fac0cb8bbd0>"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# define the problem\n",
    "sw0 = 0.15 # initial condition of the experiment\n",
    "sor_hs = 0.2 # high salinity (formation water) residual oil saturation\n",
    "sw_init = sw0\n",
    "fluids_hs = FF.oil_water_fluids(mu_water=1e-3, mu_oil=2e-3)\n",
    "fluids_ls = FF.oil_water_fluids(mu_water=1e-3, mu_oil=2e-3)\n",
    "rel_perms_hs = FF.oil_water_rel_perms(krw0=0.4, kro0=0.9, \n",
    "        swc=0.15, sor=sor_hs, nw=2.0, no = 2.0)\n",
    "rel_perms_ls = FF.oil_water_rel_perms(krw0=0.3, kro0=0.95, \n",
    "        swc=0.15, sor=0.15, nw=2.0, no = 2.0)\n",
    "core_flood = FF.core_flooding(u_inj=1.15e-5, pv_inject=5.0, p_back=1e5, sw_init=sw_init, \n",
    "    sw_inj=1.0, rel_perms=rel_perms_hs)\n",
    "core_props = FF.core_properties()\n",
    "wf_res = FF.low_sal_water_flood(core_props, fluids_ls, fluids_hs, rel_perms_hs, \n",
    "        rel_perms_ls, core_flood)\n",
    "FF.visualize(wf_res)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0-element Array{Int64,1}"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# find((wf_res.saturation_profile_xt[2:end,1]-wf_res.saturation_profile_xt[1:end-1,1]).<=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# t_sec, pv, rec_fact, dp_core, x, sw, c, c_out_sal=\n",
    "#             FF.water_flood_numeric(core_props, fluids, rel_perms, core_flood)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "# figure()\n",
    "# plot(t_sec, rec_fact, \"o\", wf_res.recovery_time[:,1], wf_res.recovery_time[:,2])\n",
    "# figure()\n",
    "# plot(t_sec, dp_core, \"o\", wf_res.dp_time[:,1], wf_res.dp_time[:,2])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# synthetic experimental data\n",
    "Here I scale the calculated recovery data to the total recovery data for a core initially saturated with oil at a saturation close to the connate water saturation, and secondary flooded with formation water."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 800x500 with 2 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "(PyPlot.Figure(PyObject <Figure size 800x500 with 2 Axes>), PyObject <matplotlib.axes._subplots.AxesSubplot object at 0x7fac285f6950>, PyObject <matplotlib.axes._subplots.AxesSubplot object at 0x7fac28d27910>)"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "R_exp = (wf_res.recovery_time[:,2].*sor_hs+(1-sor_hs)-sw0)./(1-sw0)\n",
    "t_exp_dp = wf_res.dp_time[:,1]\n",
    "dp_exp = wf_res.dp_time[:,2]\n",
    "t_exp_R = wf_res.recovery_time[:,1]\n",
    "# R_exp = wf_res.recovery_time[:,2]\n",
    "plotyy(t_exp_R, R_exp, t_exp_dp, dp_exp, fig_size = [8,5], x_label=\"time [s]\", y1_label=\"R [-]\", y2_label=\"dP [Pa]\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Later, we need to convert the above data back to the tertiary recovery factor, as if the core flooding experiments starts with a core saturated with $S_{or,hs}$ oil saturation."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# define the objective function"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "exp_data(Real[0.0, 247.682, 495.364, 743.046, 990.728, 1238.41, 1486.09, 1733.77, 1981.46, 2229.14  …  18065.7, 18232.3, 18398.9, 18565.5, 18732.1, 18898.8, 19065.4, 19232.0, 19398.6, 19565.2], Real[3833.33, 4216.58, 4589.58, 4962.56, 5335.53, 5708.51, 6081.48, 6454.46, 6827.43, 7210.48  …  6007.71, 6005.49, 6003.31, 6001.17, 5999.07, 5997.0, 5994.97, 5992.96, 5990.99, 5989.06], Real[0.0, 247.682, 495.364, 743.046, 990.728, 1238.41, 1486.09, 1733.77, 1981.46, 2229.14  …  18065.7, 18232.3, 18398.9, 18565.5, 18732.1, 18898.8, 19065.4, 19232.0, 19398.6, 19565.2], [0.0, 0.0757378, 0.149773, 0.22381, 0.297846, 0.371883, 0.44592, 0.519957, 0.593994, 0.669236  …  0.805421, 0.805574, 0.805724, 0.805872, 0.806018, 0.806161, 0.806302, 0.80644, 0.806577, 0.806711])"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# struct\n",
    "struct exp_data\n",
    "    t_exp_dp\n",
    "    dp_exp\n",
    "    t_exp_R\n",
    "    R_exp\n",
    "end\n",
    "\n",
    "# convert the recovery data\n",
    "R_conv = (R_exp.*(1-sw0)+sw0-(1-sor_hs))/sor_hs\n",
    "exp_data1 = exp_data(t_exp_dp, dp_exp, t_exp_R, R_conv)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "2.384974100844619"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "\"\"\"\n",
    "rel_perm_param [krw0, kro0, nw, no, swc, sor]\n",
    "core_props, fluids_ls, fluids_hs, rel_perms_hs, \n",
    "        rel_perms_ls, core_flood\n",
    "\"\"\"\n",
    "function error_calc(rel_perm_param_ls, rel_perm_param_hs, exp_data, core_props, fluids_ls, fluids_hs, \n",
    "        core_flood; w_p=1.0, w_R=1.0)\n",
    "    rel_perms_ls = FF.oil_water_rel_perms(krw0=rel_perm_param_ls[1], kro0=rel_perm_param_ls[2], \n",
    "    swc=rel_perm_param_ls[5], sor=rel_perm_param_ls[6], nw=rel_perm_param_ls[3], no = rel_perm_param_ls[4])\n",
    "    rel_perms_hs = FF.oil_water_rel_perms(krw0=rel_perm_param_hs[1], kro0=rel_perm_param_hs[2], \n",
    "    swc=rel_perm_param_hs[5], sor=rel_perm_param_hs[6], nw=rel_perm_param_hs[3], no = rel_perm_param_hs[4])\n",
    "    wf_res = FF.low_sal_water_flood(core_props, fluids_ls, fluids_hs, rel_perms_hs, \n",
    "        rel_perms_ls, core_flood)\n",
    "    dp_calc = Spline1D(wf_res.dp_time[:,1], wf_res.dp_time[:,2], k=1, bc=\"nearest\")\n",
    "    R_calc = Spline1D(wf_res.recovery_time[:,1], wf_res.recovery_time[:,2], k=1, bc=\"nearest\")\n",
    "    error_dp = abs.(dp_calc(exp_data.t_exp_dp) .- exp_data.dp_exp)\n",
    "#     println(error_dp)\n",
    "    error_R = abs.(R_calc(exp_data.t_exp_R) .- exp_data.R_exp)\n",
    "#     println(error_R)\n",
    "    error_dp_norm = w_p.*error_dp./exp_data.dp_exp\n",
    "    error_R_norm = w_R.*error_R #./(exp_data.R_exp+eps()) # to avoid division by a small number\n",
    "    return mean(error_R_norm)+mean(error_dp_norm)\n",
    "end\n",
    "\n",
    "function vis_error(rel_perm_param_ls, rel_perm_param_hs, exp_data, core_props, fluids_ls, fluids_hs, \n",
    "        core_flood)\n",
    "    \n",
    "    rel_perms_ls = FF.oil_water_rel_perms(krw0=rel_perm_param_ls[1], kro0=rel_perm_param_ls[2], \n",
    "    swc=rel_perm_param_ls[5], sor=rel_perm_param_ls[6], nw=rel_perm_param_ls[3], no = rel_perm_param_ls[4])\n",
    "    \n",
    "    rel_perms_hs = FF.oil_water_rel_perms(krw0=rel_perm_param_hs[1], kro0=rel_perm_param_hs[2], \n",
    "    swc=rel_perm_param_hs[5], sor=rel_perm_param_hs[6], nw=rel_perm_param_hs[3], no = rel_perm_param_hs[4])\n",
    "    \n",
    "    wf_res = FF.low_sal_water_flood(core_props, fluids_ls, fluids_hs, rel_perms_hs, \n",
    "        rel_perms_ls, core_flood)\n",
    "    figure()\n",
    "    plot(wf_res.dp_time[:,1], wf_res.dp_time[:,2],  exp_data.t_exp_dp, exp_data.dp_exp, \"o\")\n",
    "    xlabel(\"t [s]\")\n",
    "    ylabel(\"dp [Pa]\")\n",
    "    legend([\"Theoretical\", \"Experiment\"])\n",
    "    \n",
    "    figure()\n",
    "    plot(wf_res.recovery_time[:,1], wf_res.recovery_time[:,2], exp_data.t_exp_R, exp_data.R_exp, \"v\")\n",
    "    xlabel(\"t [s]\")\n",
    "    ylabel(\"R [-]\")\n",
    "    legend([\"Theoretical\", \"Experiment\"])\n",
    "    \n",
    "end\n",
    "\n",
    "# test\n",
    "x_init = [0.1, 0.7, 2, 3.0, 0.15, 0.07, 0.1, 0.9, 2, 3.0, 0.12, 0.15]\n",
    "\n",
    "vis_error(x_init[1:6], x_init[7:12], exp_data1, core_props, fluids_ls, fluids_hs, core_flood)\n",
    "error_calc(x_init[1:6], x_init[7:12], exp_data1, core_props, fluids_ls, fluids_hs, core_flood)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# define the objective function and gradients and weight factors"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "100.0"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# weight factors:\n",
    "w_p = ones(length(exp_data1.dp_exp))\n",
    "ind_max = indmax(exp_data1.dp_exp)\n",
    "w_p[ind_max-1:ind_max+2] = 10\n",
    "w_p[end:end-5]=10\n",
    "w_p[1]=10\n",
    "w_R = ones(length(exp_data1.R_exp))\n",
    "w_R[20:25] = 10\n",
    "w_R[end:end-5]=10\n",
    "\n",
    "\n",
    "function f(x)\n",
    "    f_val = 0.0\n",
    "    try\n",
    "        f_val = error_calc(x, exp_data1, core_props, fluids_ls, fluids_hs, \n",
    "            core_flood, w_p = w_p, w_R = w_R)\n",
    "    catch\n",
    "        f_val = 100.0\n",
    "#         info(\"Objective function did not converge!\")\n",
    "    end\n",
    "    return f_val\n",
    "end\n",
    "\n",
    "    \n",
    "function g(x)\n",
    "    eps1 = 1e-4\n",
    "    f_val = f(x)\n",
    "    g_val = ones(length(x))\n",
    "    try\n",
    "        # g_val = Calculus.gradient(x -> error_calc(x, exp_data1, core_props, fluids, core_flood), x)\n",
    "        for j in eachindex(x)\n",
    "            x2 = copy(x)\n",
    "            x2[j]+=eps1\n",
    "            f_val2 = f(x2)\n",
    "            g_val[j] = (f_val2-f_val)/eps1\n",
    "        end\n",
    "    catch\n",
    "        g_val = ones(length(x))\n",
    "    end\n",
    "    return g_val\n",
    "end\n",
    "\n",
    "function obj_fun(param, grad)\n",
    "    if length(grad)>0\n",
    "      grad[:] = g(param)\n",
    "    end\n",
    "    \n",
    "    obj_fun_val = f(param)\n",
    "    if isnan(obj_fun_val) || isinf(obj_fun_val)\n",
    "        obj_fun_val = 100.0\n",
    "    end\n",
    "    return obj_fun_val\n",
    "end\n",
    "\n",
    "# test\n",
    "x_init = [0.1, 0.7, 2, 3.0, 0.15, 0.1, 0.08, 0.9, 2, 3.0, 0.15, 0.15]\n",
    "grad_x = zeros(12)\n",
    "obj_fun(x_init, grad_x)\n",
    "\n",
    "f(x_init)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "12-element Array{Float64,1}:\n",
       " 0.0\n",
       " 0.0\n",
       " 0.0\n",
       " 0.0\n",
       " 0.0\n",
       " 0.0\n",
       " 0.0\n",
       " 0.0\n",
       " 0.0\n",
       " 0.0\n",
       " 0.0\n",
       " 0.0"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "grad_x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "## algorithms\n",
    "# L: Local, G:global\n",
    "# D: derivative-based, N: non-derivative (search-based)\n",
    "\n",
    "# :LD_MMA\n",
    "# :LN_COBYLA\n",
    "# :LD_LBFGS\n",
    "# :GN_DIRECT\n",
    "# :GN_DIRECT_L\n",
    "# GN_CRS2_LM\n",
    "# G_MLSL_LDS\n",
    "# GD_STOGO\n",
    "# GN_ISRES\n",
    "# GN_ESCH\n",
    "# LN_NEWUOA_BOUND\n",
    "# LN_BOBYQA\n",
    "# LN_PRAXIS\n",
    "# LN_NELDERMEAD\n",
    "# LN_SBPLX\n",
    "# LD_SLSQP\n",
    "# LD_TNEWTON_PRECOND_RESTART\n",
    "# LD_TNEWTON_RESTART\n",
    "# LD_TNEWTON_PRECOND\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(100.0, [0.1, 0.7, 2.0, 3.0, 0.15, 0.07, 0.1, 0.9, 2.0, 3.0, 0.12, 0.15], :ROUNDOFF_LIMITED)"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x_init = [0.1, 0.7, 2, 3.0, 0.15, 0.07, 0.1, 0.9, 2, 3.0, 0.12, 0.15]\n",
    "x_lb = [0.1, 0.1, 1.5, 1.5, 0.05, 0.05, 0.1, 0.1, 1.5, 1.5, 0.05, 0.11]\n",
    "x_ub = [1.0, 1.0, 4.0, 4.0, core_flood.initial_water_saturation, 0.1, 1.0, 1.0, 4.0, 4.0, core_flood.initial_water_saturation, 0.25]\n",
    "opt_alg=:LN_COBYLA\n",
    "opt1 = Opt(opt_alg, length(x_init)) # choose the algorithm\n",
    "lower_bounds!(opt1, x_lb)\n",
    "upper_bounds!(opt1, x_ub)\n",
    "ftol_rel!(opt1, 1e-15)\n",
    "ftol_abs!(opt1, 1e-15)\n",
    "\n",
    "min_objective!(opt1, obj_fun)\n",
    "(fObjOpt, paramOpt, flag) = optimize(opt1, x_init)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.15"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "core_flood.initial_water_saturation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "2.384974100844619"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x_init = paramOpt\n",
    "vis_error(x_init[1:6], x_init[7:12], exp_data1, core_props, fluids_ls, fluids_hs, core_flood)\n",
    "error_calc(x_init[1:6], x_init[7:12], exp_data1, core_props, fluids_ls, fluids_hs, core_flood)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 2 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "PyObject <matplotlib.legend.Legend object at 0x7f15558edb50>"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "rel_perm_param=[1.0, 0.8, 3, 4, 0.2, 0.2]\n",
    "rel_perms2 = FF.oil_water_rel_perms(krw0=rel_perm_param[1], kro0=rel_perm_param[2], \n",
    "    swc=rel_perm_param[5], sor=rel_perm_param[6], nw=rel_perm_param[3], no = rel_perm_param[4])\n",
    "FF.visualize(rel_perms2, fluids)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Julia 0.6.4",
   "language": "julia",
   "name": "julia-0.6"
  },
  "language_info": {
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